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Finding the Fourth Proportional to 47,132, 64,993.94 and 31,210.64

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Solution

The fourth proportional to 47,132, 64,993.94 and 31,210.64 is: 43,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,132 : 64,993.94 = 31,210.64 : x
  2. Step 2: Convert to fraction form
    47,132/64,993.94 = 31,210.64/x
  3. Step 3: Cross multiply
    47,132x = 64,993.94 × 31,210.64
  4. Step 4: Simplify right side
    47,132x = 2,028,502,463.52
  5. Step 5: Solve for x
    x = 2,028,502,463.52/47,132
  6. Step 6: Final answer
    x = 43,038.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.